find the length s of the arc of a circle of a radius 48 meters subtended by the central angle 1/6 radian

Question

I just have no idea how to solve this problem

Answer 1

The formula for arc length is:

 

s = r*θ

 

where s = arc length, r is the radius, and θ is the central angle in radians. You have r and θ, so just plug them in to get the answer.  The arc length has the same units as the radius.

Answer 2

1 radian is the length of an arc equals to radius, so length of the 1/6 radian is 1/6th of the radius.